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Finding the Fourth Proportional to 2,483.72, 3,725.34 and 840.24

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Solution

The fourth proportional to 2,483.72, 3,725.34 and 840.24 is: 1,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.72 : 3,725.34 = 840.24 : x
  2. Step 2: Convert to fraction form
    2,483.72/3,725.34 = 840.24/x
  3. Step 3: Cross multiply
    2,483.72x = 3,725.34 × 840.24
  4. Step 4: Simplify right side
    2,483.72x = 3,130,190.50
  5. Step 5: Solve for x
    x = 3,130,190.50/2,483.72
  6. Step 6: Final answer
    x = 1,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.